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Fast Track to Differential Equations : Applications-Oriented—Comprehensible—Compact / by Albert Fässler
版 | 2nd ed. 2021. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2021 |
本文言語 | 英語 |
大きさ | XIV, 221 p. 143 illus., 71 illus. in color : online resource |
著者標目 | *Fässler, Albert author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis FREE:Analysis |
一般注記 | Prerequisites from Calculus -- First Order Differential Equations -- First Order Applications -- Second Order Differential Equations and Systems with Applications -- Numerical MethodsWith Applications -- Climate Change, Epidemiolgy, Signal Processing The second edition of this successful textbook includes a significantly extended chapter on Climate Change with an analysis of the CO2 budget. It also contains a completely new part on Epidemiology, treating the SEIR-model which describes the behavior and dynamics of epidemics. In particular, COVID-19 with actual data is discussed. This compact introduction to ordinary differential equations and their applications is aimed at anyone who in their studies is confronted voluntarily or involuntarily with this versatile subject. Numerous applications from physics, technology, biomathematics, cosmology, economy and optimization theory are given. Abstract proofs and unnecessary formalism are avoided as far as possible. The focus is on modelling ordinary differential equations of the first and second orders as well as their analytical and numerical solution methods, in which the theory is dealt with briefly before moving on to application examples. In addition, program codes show exemplarily how even more challenging questions can be tackled and represented meaningfully with the help of a computer algebra system. The first chapter deals with the necessary prior knowledge of integral and differential calculus. 103 motivating exercises together with their solutions round off the work. “I am happy to see such a book. It will serve as a support for many students, professors and faculty.” Dr. Alessio Figalli, Professor at the ETH Zürich and Fields medalist 2018 HTTP:URL=https://doi.org/10.1007/978-3-030-83450-0 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783030834500 |
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EB00237290 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000140916 |
ISBN | 9783030834500 |